#include "Zobrist.h"

const unsigned int zobristKeyPlayer = 1099503838;
const unsigned int zobristLockPlayer = 1730021002;

const unsigned int zobristKeyTable[CHESS_TYPE_NUM][BOARD_SIZE] = 
{
 	{
		1838313047, 843918149, 3317276525, 764949643, 1342730656, 2323331338, 2633247986, 2256148642, 1729250304, 3137751372, 3680277811, 1695897900, 3384598019, 808966169, 1232304733, 2801033990,
		888085356, 600521111, 3434060065, 1373946723, 1654509975, 1410459431, 694314888, 2663312225, 800727394, 1976662520, 3223295335, 2886603945, 586567279, 521203090, 2933367085, 3496450226,
		3051088151, 434243395, 1840568272, 269934915, 1930761358, 478754527, 487253984, 3791121901, 447952523, 947730115, 653331255, 1598728014, 2055169100, 2228337511, 2181045810, 1352891808,
		976467510, 2385130176, 1024858086, 3414547363, 655684412, 888456021, 3886979940, 3147431474, 1016030977, 1785243510, 2678357657, 3842376451, 3046781081, 155716398, 1489198652, 1824967233,
		2723070279, 790459361, 2861293442, 2336619898, 798952515, 1874588123, 4049064750, 3041335822, 3322930761, 565976965, 3634083954, 1299605853, 3315774094, 3610525543, 1336596170, 1698379370,
		3972575320, 1366977226, 855211009, 2109896293, 2128222368, 3089397249, 1580703444, 1098466456, 3052795970, 935604082, 1444950449, 1796899501, 3371123848, 3855022611, 3438332050, 3792623985,
		2723353500, 1307256854, 3537936995, 2555479224, 2319977245, 1580541542, 1316821498, 1346271330, 3543034096, 1573041728, 2792684851, 4255329112, 999760347, 3305401305, 1313608399, 1832074957,
		4274708398, 1327003265, 2823995470, 3609211329, 2665178326, 995140339, 3760194440, 3151570577, 4189287839, 2545504915, 2211127831, 949696210, 3740204965, 1730443782, 3830218446, 1830710814,
		968700597, 3322002359, 3198813018, 3048190668, 3439468127, 1416952072, 4027048077, 3175402181, 641395140, 2060916673, 2409189788, 4279336817, 4012716849, 3661749255, 1131062984, 3375684765,
		1591742208, 770781018, 1835146275, 3165170044, 705669752, 3301704655, 3827065260, 2035407052, 1980006590, 1864434484, 2820692492, 2291470601, 323994948, 3426122478, 3191286848, 412769348,
		1800133714, 4271724008, 4057322667, 3803554208, 1726418834, 2567040792, 1653309922, 1211606766, 3431607149, 2584849974, 553434557, 779088422, 2850143246, 3899539478, 520298063, 1711702338,
		1842284880, 2571432254, 529107173, 3554150326, 2526545890, 621978617, 392631310, 3408822333, 2761806950, 1468943459, 3070396975, 2287972329, 1207322320, 672615815, 2523790763, 3341152199,
		1122772030, 1867070378, 3318951569, 4023191625, 320294254, 4262290831, 1678347659, 3351030613, 800229219, 3387728092, 3638961380, 2184827946, 3469464842, 2937812273, 312920231, 2262590506,
		883019272, 666841686, 1597769128, 3471142730, 1053822308, 3399471314, 780524183, 236969799, 2011588596, 2178959827, 1479490684, 2696057347, 1956788249, 3124030298, 2735933846, 3487873886,
		3974942724, 4275710746, 2459922873, 3190195009, 2737787563, 1598178699, 34293566, 2838548371, 248676485, 2256214418, 3613930312, 2386996595, 1118829488, 3363532675, 1242472479, 997418458,
		77983831, 2590243000, 1134155826, 3737635569, 3289218577, 497186980, 3574388989, 4022543975, 3538247611, 1233421612, 234546886, 4216222852, 619252273, 1920188929, 1621334580, 2632115451
	},
	{
		2588052015, 516030316, 3267287644, 3342995974, 298003394, 1957248815, 1521661886, 4251898067, 3798234060, 2701951743, 4160932072, 3751639673, 459676617, 2012770125, 601298308, 2277476278,
		2203802574, 1721994314, 3699373140, 969191387, 1804159592, 63498948, 2360760738, 1697128610, 4225477336, 2094282168, 2986398080, 1991854165, 2434414020, 1110575999, 2861981139, 3252854984,
		2811697113, 259393593, 726760886, 2250725270, 831055346, 33369514, 2650036081, 3167611365, 2367719739, 3662481528, 1467067458, 2714698692, 2596586415, 2592115625, 1344165127, 4291128628,
		1156990876, 2388552968, 202966310, 2243027823, 4164897944, 3045910593, 187653918, 3004235144, 1947221458, 1179454818, 2664259559, 3859129018, 4202908549, 4120641859, 2732521652, 4039878722,
		3636782261, 1949842746, 1655413317, 1305632258, 3632041927, 2200370819, 2992397805, 1431238689, 3682942304, 20695334, 2406455996, 1077558601, 2510617749, 2514750390, 1748704801, 2535186804,
		3606406858, 1406356426, 3625621123, 723628038, 3945416452, 953682832, 3070308717, 3684390571, 723020611, 2156078939, 1363435427, 2051066955, 3319583428, 1237692468, 3163845717, 166278811,
		3934932663, 1520220701, 465649559, 1664667516, 2173188883, 1719864919, 3879105436, 15421666, 354516600, 304757360, 3899148987, 224713614, 898756746, 401064124, 1704386096, 3218382530,
		3655290119, 2055733385, 3801095231, 151249312, 1974619084, 2074135885, 644621784, 596583646, 1882441975, 1350891490, 372191438, 2708837555, 3938301804, 902136392, 1048488048, 3513681929,
		1919703115, 1297261790, 156687616, 1967175186, 788508422, 210688441, 3108791163, 2425821893, 1435679943, 208324415, 1340969939, 3244117859, 244250957, 2623873186, 4221868338, 574880314,
		1236023351, 1847187488, 3396671077, 635575215, 2273253787, 1696842172, 764866318, 1574109447, 252413981, 223386095, 4122467871, 4151598502, 1543204130, 3809366193, 4003363642, 965558428,
		1780573913, 2316299356, 1353469801, 628130368, 2874754139, 2300949168, 3826011382, 1551894725, 3792419050, 774297844, 1750452933, 2687032958, 864628402, 2383044862, 1477449492, 2064478834,
		2941322243, 1922875675, 166882452, 3730936012, 4127432714, 1073121449, 3857412952, 552602541, 3066448724, 2516635873, 2735459660, 1742750290, 223185862, 3436026978, 708822369, 2524396487,
		290970060, 607627198, 551182004, 856182188, 2451993473, 2086484614, 1986677522, 3514047564, 1677090843, 3679226384, 46107567, 212893695, 9360232, 54677544, 759666608, 1877089689,
		725800745, 2521206048, 2647671317, 2089040607, 4286895268, 2038718984, 567119544, 53344178, 3658560031, 2590234416, 1365216837, 1268885464, 326521018, 2011862001, 2679345871, 3674005888,
		3760370572, 1758247388, 3092578060, 694651890, 1977170206, 3532172594, 4042944451, 1887567899, 1295539099, 3393295504, 2825701631, 833250986, 3899693598, 1881934434, 941319911, 3701229840,
		1365982638, 2799751297, 2983450210, 1179051229, 4034741039, 2021553693, 2841857751, 366437932, 3518374454, 3148245948, 3710373348, 1130669892, 266451972, 2135224817, 601290434, 2299089894
	},
	{
		3462522955, 2678541204, 2731730400, 544698559, 1916047478, 2040102305, 3731234816, 420644511, 4016220453, 1251839129, 4073518643, 189715285, 402268503, 2659035676, 3280183116, 3702898722,
		1973690246, 1258981135, 3163329788, 3837988282, 2092519218, 3541776689, 2923336154, 1983663391, 2470123827, 3365478302, 248415757, 966299385, 774816565, 295537573, 2176053140, 2140991610,
		2398721089, 1215934207, 174785149, 3713116916, 2496871552, 3309968993, 1539994813, 846726359, 340159134, 3473274736, 379097154, 3466959319, 2527885723, 1657070856, 191420806, 3993090779,
		3179575311, 3412750877, 1493428211, 1721799519, 1614453341, 2565057156, 2914314747, 2228410233, 3296799211, 1449099202, 1507417490, 4033266872, 3926101851, 4074793484, 261113650, 3606880150,
		2154897339, 2857521523, 3906055269, 3554401579, 4040137483, 1089993096, 2001046298, 2047317128, 1122167115, 1943197169, 2756091941, 4245519126, 1344998842, 1355530452, 212583653, 388958910,
		3240998080, 3889679752, 3778195550, 141624756, 176307087, 3095833918, 787557945, 1090032827, 717532448, 1910650549, 2909970466, 811946502, 1182156882, 1632761286, 43294081, 1424996318,
		1654889570, 969422718, 3029085776, 652323927, 2919218862, 947799064, 2245207104, 1050568651, 899846592, 82878311, 63691370, 1537487454, 2523878620, 1105025151, 1930606339, 2515024405,
		4061002518, 1621790025, 3245358039, 378967660, 435779414, 3792115044, 957017355, 2533416680, 1097114312, 4158910437, 1575665762, 3419798742, 2890482429, 4272361740, 2583839875, 1961209325,
		2163453610, 1542996416, 2346324342, 1294526077, 360466746, 682562734, 2213004761, 4233590226, 2837330267, 2633004005, 592780588, 2462905533, 351035107, 75142147, 1786310029, 4073453128,
		4184978756, 4234383374, 3721738134, 844488099, 977871685, 2722467505, 3226256831, 3948909357, 2976324290, 3780217579, 3423374543, 3280346294, 355330802, 2878838051, 2553278124, 763370669,
		324077879, 3540891700, 2122046539, 3801897064, 3680992138, 3318727314, 4254177278, 1980700417, 4142763429, 2416697472, 3223833403, 2082366036, 1348897779, 582946707, 2026473597, 2419822500,
		272708726, 29002433, 1461143502, 3895453494, 1116703664, 797342424, 1162242379, 262808972, 2911345726, 1119336988, 2533049990, 76256774, 680340274, 3974790611, 891701378, 3988438115,
		3002134655, 3533331874, 3589914783, 247372276, 2474617019, 1014935569, 3981455852, 3861621615, 110009889, 2977035975, 816462447, 3708435017, 1576548647, 1165636697, 1684635917, 4108314402,
		3679178478, 1194165549, 1597965627, 217420166, 2362324583, 1560789814, 2826866636, 1688722985, 1115426751, 1026911680, 897055666, 2427092342, 473313106, 1000870278, 2698836805, 3727257842,
		3964573907, 1930381720, 3898929514, 310471783, 3144764977, 1696973750, 499139362, 2768227942, 2706582679, 2095999697, 2586343383, 599999443, 1885928888, 4267910973, 1149758363, 1201095744,
		1976847466, 1182715323, 1183002083, 1259428975, 2060361620, 557218459, 1355377752, 3735776548, 114769617, 2723596593, 2958031395, 178729548, 732348405, 1394364637, 3522718800, 179333579
	},
	{
		844175093, 2533412817, 3868840508, 3337153288, 4232039227, 3334942684, 2959421662, 2172065710, 3129090090, 179378172, 3199249581, 1607945778, 2835783485, 2698378415, 1756723440, 1359707349,
		1079016222, 1937429680, 3260751315, 851806237, 3330973966, 2202742026, 2914212990, 1147729557, 411716758, 1971406354, 3325869527, 3334172556, 1611180046, 693963571, 2251174200, 2955840111,
		2203974202, 3754856345, 838120019, 1822018483, 3961059844, 3806866615, 276562029, 684983713, 2079738535, 1220874592, 586659860, 1211738114, 3982134385, 453992876, 4228879840, 1404116334,
		1375567353, 696334797, 2713152845, 1068677344, 1893196896, 2319357801, 1096637023, 1176681872, 459632335, 1669383628, 2624054937, 892024182, 2857438049, 3538236731, 2484214835, 2905489584,
		3035606509, 3999935476, 2003023294, 763846272, 3886333732, 1807692726, 4161433901, 1425643025, 3299589767, 2752973147, 2407257644, 2767110127, 32671255, 3990397483, 2144393881, 1343686257,
		2909019114, 2237213385, 2177503454, 1748766047, 2278634338, 584181641, 3606955118, 2621363093, 4013248021, 94826874, 2597345113, 3475536256, 2788599743, 393481649, 3067320639, 2683417724,
		1602054633, 912985739, 3670025219, 1707812556, 2689017284, 3675847753, 1108869936, 1197709357, 2427067365, 4292132918, 1741026182, 761684063, 4049546272, 1747322195, 3105828922, 1879350309,
		1949864179, 4288002191, 947373965, 3121195658, 2419493907, 569617244, 41961677, 46097576, 685522964, 1513226292, 995543623, 2968329587, 730303936, 3971190594, 264500128, 698866262,
		2162871437, 2733713738, 2708570293, 2540120290, 3132801595, 1943828718, 1465043503, 1202930717, 1288981949, 3235486884, 3933795588, 1817966057, 864459886, 2002574355, 1472950250, 1417661454,
		2823484951, 516089161, 159521082, 2631006196, 1833991898, 2464009594, 959456510, 3952739577, 2721931186, 3643192029, 2676704290, 1615271764, 2397891879, 2977659374, 2927695903, 3959700178,
		1835527230, 1121678709, 1878248911, 1045087496, 3678680871, 3829303418, 3740394526, 106441414, 1019084519, 1300617365, 3081253825, 3249631478, 858915098, 1664060338, 3955295635, 3184498449,
		1784326050, 79429209, 1113883239, 850599257, 616870331, 338361905, 1188476013, 6535597, 972595173, 271104021, 2082393394, 4042229501, 902545963, 4150443128, 2237099736, 3141526549,
		1524918099, 2623482609, 472349171, 272597709, 2070411951, 2585958411, 1773886979, 2443634211, 3176432096, 2317288030, 1610017208, 1203808473, 2906095388, 1877828157, 2772948139, 4016126714,
		472549939, 4016739266, 2036770581, 2737172258, 1562142719, 2129039342, 3443070107, 3946814741, 1037438408, 519774553, 3577780310, 382056439, 2459322256, 3069437116, 709007892, 143860041,
		1685619593, 4177458000, 1062718320, 2403549658, 907921494, 3802930797, 851903735, 1596058996, 2204855357, 1703145086, 2961636930, 2011226185, 3755182181, 1376137440, 1132895167, 834927345,
		3656051536, 1666696380, 3036302919, 1979826716, 2676770067, 1013322008, 1398760133, 1764441822, 1523043871, 1843701595, 959127276, 4136526892, 1667271411, 756665004, 2459751642, 1436789257
	},
	{
		1637330873, 439536075, 4125303918, 413632592, 2167693218, 2764984687, 2710091741, 807472332, 529489076, 4133034022, 2154830546, 4272385462, 600570883, 371778628, 3923729821, 3209745840,
		826100633, 3982489220, 41673464, 4138547325, 805426821, 1951005079, 2466611398, 936940992, 3618760719, 2289022567, 2075080498, 795386489, 1766705919, 3372419941, 2184080928, 2402615240,
		3826560579, 1127227908, 3795655676, 1157997924, 3689322274, 1674208686, 1795294011, 3411728594, 1389745349, 2045270593, 517177360, 2290939687, 3024902332, 893876260, 101493450, 2507140908,
		2737205892, 3816507910, 892355003, 948928387, 3118712487, 4131227275, 159758256, 995645470, 3855526909, 3202425987, 170193394, 960694496, 72543741, 2956049624, 2552499584, 3853251874,
		2348111295, 1609188056, 2555416372, 3558279262, 1195087321, 3341225734, 4190786947, 3857776308, 782137545, 1729215430, 3263327478, 157647582, 3081591246, 3431281077, 1641294097, 230998655,
		3520195824, 232765338, 1755425769, 1244444276, 370776407, 839362741, 2739849333, 3853817111, 2507757870, 2843278496, 166878137, 709526779, 2895065661, 3704601321, 3966420689, 3473894720,
		161740307, 3406713577, 2251577299, 2976434939, 3655295944, 2241046572, 2351242611, 3702539580, 2587529788, 973985578, 4173287118, 3682224733, 1269339810, 250693389, 3002934135, 2143667248,
		1525580506, 571555422, 3222089556, 1261982680, 3535574406, 3956361515, 3280977067, 2043319991, 1656950866, 1365907952, 3854203888, 4107991943, 1779660336, 2821368043, 3612850633, 924750865,
		1413653793, 1408396652, 3273970523, 3252424805, 49957996, 910185940, 544663147, 1787070339, 1845403059, 1648163767, 3187925699, 332564926, 545918046, 3005834122, 3756296548, 2904468761,
		4131302845, 2943180479, 1717293980, 976424639, 1226135389, 3693741391, 2321531910, 2654580536, 259496800, 3649797733, 3915508040, 606972938, 2250933614, 289243020, 1796368064, 2846978086,
		4023387866, 1743787795, 2222530911, 1744504299, 2185621650, 2299146722, 914255835, 3761783754, 1917744222, 2828734154, 913475628, 908410955, 1195856452, 2099871662, 940285065, 2152244868,
		3016898025, 1842225328, 1751671387, 1822424766, 424707512, 2296650987, 1460342140, 2475716310, 2946061676, 931129124, 2089665346, 3323863557, 2953945097, 3406300247, 1896340577, 1200198732,
		2876069507, 2005078616, 2230457561, 530898366, 3237494241, 1631811406, 3676913522, 3638311608, 4184552351, 1541376136, 2548002646, 2081595949, 3621854093, 3019425137, 2495612093, 1741919393,
		550010696, 1125999237, 1441835281, 219233686, 3149638201, 557631593, 218962526, 1951010066, 549296997, 2706709066, 1255845700, 2150835520, 1859849985, 665151392, 2791253679, 1254170363,
		3045450855, 3347877832, 3349851577, 2822594625, 2254002148, 2073844366, 4189288695, 2018421689, 4071970716, 3043190968, 447758476, 1527332925, 2001637957, 3593755021, 1773447121, 1066929817,
		1121157402, 1724263418, 1407080294, 2101576678, 303609264, 71892435, 2808115194, 2120658421, 4017218607, 3248920626, 1704678606, 3371996822, 4065600659, 2952280147, 2464991005, 3663056081
	},
	{
		3087650251, 1589424993, 1091094030, 577141596, 2430958258, 341211957, 4171233435, 2238942136, 490166900, 1058371150, 463110709, 2311713307, 4191092630, 1373474892, 562249058, 628634770,
		1198174316, 2950894566, 3181723388, 4047230965, 3259310179, 1886925415, 3392055751, 4159997985, 685730496, 3624437488, 3746352714, 592403009, 2158673333, 176270009, 2727063574, 3385703216,
		324136100, 127577048, 2035930323, 307007809, 1182610115, 3992474639, 3274518422, 1546693158, 3056757225, 585142781, 2669217980, 1509835446, 2991906469, 2995421042, 4007896635, 3105778307,
		1996228129, 2788170744, 3364341320, 2851311660, 2781188805, 82024831, 704905056, 3014527260, 707933839, 3156181403, 105961934, 3104098552, 257239659, 917620055, 159687304, 1669677391,
		2068934073, 2512126384, 3142016884, 1458755468, 1559580984, 626878430, 2091418243, 32102695, 2628986867, 2719785622, 915780536, 3167821417, 2462473464, 423929316, 2568173097, 2607853940,
		2907013805, 730301265, 29426800, 2869961537, 178329159, 90725599, 3144523632, 1341642480, 202921340, 3951418129, 4035149832, 1351352970, 3034999799, 1884105190, 3634407981, 2493486984,
		836438108, 3312359671, 3238556119, 2674393226, 1245526341, 2409937035, 71972738, 2781381260, 3606459137, 1356571936, 1993689109, 1512137332, 773037942, 851538083, 3508738905, 3840946267,
		1335263642, 230971879, 3073271854, 661201470, 62739324, 2539583180, 3338097377, 1159017984, 520787296, 1318992042, 4268302620, 2195705725, 2370544364, 3671291349, 2587358952, 3803450708,
		4009509483, 216048658, 2971961217, 3378306197, 2754738290, 29717462, 1926038882, 1339245528, 1486840498, 1099785095, 4182698781, 1081621145, 1583640280, 1837143022, 764847260, 4158650968,
		2278750776, 796473433, 2778556978, 2080193799, 414383341, 536110190, 679023582, 3087776582, 1763287087, 4166320356, 2959336359, 2167186661, 3807651878, 3631468352, 3486126418, 2447302907,
		3127235024, 2717592283, 419158719, 1759835165, 1806409648, 1050973172, 2470013038, 2526809891, 2454532262, 1664755627, 3353137776, 1117656583, 1643282759, 880618565, 1193822398, 352427654,
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		4216182396, 1878249760, 3648091674, 2823119622, 4123956908, 1141821198, 2218028337, 618951686, 1715358872, 3075828307, 3420308185, 812992526, 637685647, 2105435126, 798321732, 2944355725,
		405564953, 3615849567, 1166868174, 3305983433, 4123921266, 3207020228, 4088832733, 2957092000, 2697694477, 2799180392, 2990389484, 2974714403, 1284373498, 420179096, 1130968590, 2744271549,
		2189513921, 2546151123, 2907333980, 1242125720, 575392449, 1147736990, 3631261650, 1820682936, 2376592935, 1580267631, 2144459702, 1819393983, 905710563, 303046410, 2352094884, 92873343,
		4196544009, 2205118736, 1368527514, 2101090113, 3755549448, 1090332189, 2507011397, 761205996, 342790995, 2394385277, 2631856154, 3289128848, 2579589531, 2548455805, 4010323457, 3059230775,
		537785744, 2580252780, 98526797, 595060691, 4293687940, 1908168420, 3922787570, 539652492, 2743655330, 2071690766, 557411293, 965762800, 3626406353, 473282141, 1413328210, 880716472,
		364254435, 498305017, 262312752, 2984571013, 906592713, 1579191695, 1891009436, 4259499750, 969570561, 4152236250, 536825660, 2804508982, 542929580, 3950869717, 2989717636, 206787096,
		1116624854, 3996254932, 2921238727, 91605335, 3028534486, 70714220, 885515529, 2276821422, 648101853, 156049367, 3076189814, 2982534478, 1200128752, 398961562, 487643635, 2982447220,
		2213775480, 653828463, 513563240, 671461265, 1580046716, 4289827629, 4176058731, 3001616252, 1518238893, 737783688, 3765495006, 1093510875, 55690275, 4248397161, 3332601820, 1144355256,
		1011906526, 1632029362, 1181133427, 2891394071, 4191396802, 3463133955, 3229294768, 4145127298, 2842175965, 1888964572, 1309300739, 3234211898, 2018576959, 1447967205, 1541294857, 2713351604
	},
	{
		3749302254, 2803848583, 780459621, 2120917337, 1920521491, 2353951225, 3129066474, 76833668, 4047638251, 2021193501, 3789696076, 1482300570, 1048286484, 823176138, 528186050, 4169502253,
		2758870445, 2204384689, 4241876496, 3106165550, 360365067, 272862282, 2279545981, 3698190969, 1475057996, 767294330, 2890037723, 3780409691, 3381406606, 3668298257, 1521716223, 2697335292,
		2954988242, 1525576410, 1745099993, 260280924, 97299085, 3985925883, 2289556240, 2696052829, 3655447427, 1781704350, 1322298871, 178728567, 2720136866, 899331031, 3573190983, 231011762,
		470984750, 2450166393, 3808202682, 2975358502, 3958503929, 4216043683, 1399694382, 2329547590, 3176589773, 437084152, 3007914477, 2563795225, 3665571817, 2821576107, 2517582887, 1004687167,
		2021683506, 2357491620, 2413184352, 2663547760, 3392700565, 3218845165, 1410070117, 84836417, 2503314149, 3217262930, 2876921318, 3162273349, 1706342537, 3439367938, 278907331, 4082793889,
		3379763180, 818464904, 3452733577, 1119210340, 3321018586, 1223500066, 4039318719, 875334693, 2782960358, 755038443, 1362272501, 3017683789, 1648273401, 2049317387, 4062682855, 267105007,
		1294887281, 2128719637, 2171892786, 1924119797, 2886613852, 2694825546, 553656042, 110153192, 3128564414, 4185263599, 2369744757, 3658342327, 3169832063, 3025639665, 2188502068, 1187413630,
		2889672982, 4142760719, 1372216073, 4118649208, 2319967778, 4172352669, 2172873439, 3334150956, 90336061, 4053678864, 1037248380, 849687134, 3636817816, 2873534655, 247808113, 2902529836,
		681715641, 2150217545, 326115340, 3393372349, 1460739896, 2852639497, 2623165917, 3293923268, 2727150048, 2697743742, 3916556679, 294021211, 1408089730, 4156068003, 1148166149, 2508144285,
		4004617848, 1950254723, 2680906494, 4108287191, 380375833, 1666148926, 4154193673, 3786831238, 1588688223, 136883538, 596345655, 1368164472, 287863001, 3913803596, 945947510, 446817100,
		286729410, 2707212770, 4183651560, 2082510820, 1518992085, 3819380373, 653642341, 152499087, 1780271823, 827764355, 900065967, 3553668869, 26789289, 2884068320, 3870925092, 2896828448,
		1392533693, 3076545825, 92124868, 558053140, 1047456289, 1303848803, 2324769190, 1115890979, 2800013874, 3087933482, 4198962020, 3309408776, 3993073976, 4223205789, 1255599770, 3059154010,
		1952527021, 2795605865, 3421631432, 1079376776, 2989281224, 2745289043, 886841832, 532778088, 352415176, 864118838, 3807024389, 1328793031, 1278114542, 2080737119, 3269064929, 3376597,
		3353627918, 1574760621, 1489462247, 3953858389, 3225927884, 771292050, 4267779258, 3514451617, 2355238093, 1790222949, 2228669424, 1944502315, 3930558052, 1973750187, 2981790443, 2678087498,
		3903777959, 3265798892, 1805582692, 3221476705, 89228673, 3775788006, 1747397533, 1852369481, 2401353003, 2386491311, 1360317977, 3690154936, 3931001164, 3222603056, 3852183275, 2718623625,
		3001390423, 3073534572, 30701515, 1541417945, 3107729181, 2077771431, 3297154537, 1644093257, 3436238265, 2279306755, 639576035, 751089035, 1221766702, 1028445003, 3132807777, 2310241885
	},
	{
		3531154322, 2565669703, 3461730259, 2215890425, 1235066075, 3523586358, 3831757991, 2024253215, 1073726742, 1295191583, 287444841, 2808196722, 3798233204, 1019818438, 1539655950, 1882531710,
		1202439108, 3899551331, 3332081475, 699493034, 3050580220, 4169987009, 2908142081, 942291050, 2471773774, 1639388515, 3450738154, 2172117363, 3849328019, 865971618, 2632662261, 2799916954,
		1586675292, 2270899431, 530099281, 95849766, 2764383032, 2431675873, 2334668758, 615594971, 299191432, 172548263, 2608461690, 2656559444, 3749581872, 2366460105, 3348265850, 51615226,
		2037320666, 4200143970, 1877395843, 2327618001, 2063911212, 687185918, 320350697, 3618269379, 4171533135, 82201911, 3999797478, 1618941718, 2141381013, 1458402289, 3585114445, 303029857,
		855256507, 385032076, 140349580, 3741212926, 839543101, 3302906466, 3296839828, 3280187271, 1319380520, 556834478, 3646125175, 2678854863, 582611936, 1603341679, 1633118868, 897685149,
		146184439, 2904760139, 4143611645, 4249282547, 2601474213, 3875967778, 3341736393, 92041544, 3256865696, 2869028630, 2026551445, 3495284556, 64188755, 3458972505, 3896968774, 4020248748,
		3386052287, 58394257, 3888181644, 436015511, 2040655642, 2297905235, 1243047413, 3665378988, 198475719, 660148675, 3638957409, 2998040442, 168932735, 3772008752, 2740817628, 2775707634,
		3376528901, 909202881, 1066819074, 203734321, 2513542968, 1473608722, 4024735319, 1109537862, 3039001846, 1834040120, 1924813128, 2571505764, 166538541, 2289906803, 3267994649, 1910160100,
		1318135971, 2887817077, 3699315348, 715613876, 214698916, 1896534616, 4038446481, 1424265507, 4251650828, 3266766441, 1813194861, 4277641273, 2253029040, 210151291, 3035050393, 650538346,
		2810927348, 547236731, 504734177, 3193132363, 1377569522, 1496054804, 84442556, 50975650, 1602609855, 1913023173, 1923108619, 241533940, 522498131, 857422561, 3044002118, 4213530687,
		1258031140, 2297999174, 4115614403, 4031587526, 1800801966, 3489794880, 3761284533, 2601130339, 267944148, 905588605, 3218667181, 2784374922, 2026581622, 818045927, 10400793, 894980701,
		3802847302, 3411968936, 4293332852, 110431457, 69105053, 4002707304, 1780659671, 144036947, 4173576801, 1698605787, 2765129936, 238693009, 3058562720, 808358688, 4108534195, 2926031969,
		2252035054, 3928039968, 2494546804, 1281075415, 3172229830, 1327811771, 906921611, 935364398, 1506843836, 4215187452, 66071263, 23110560, 985568199, 3942502810, 2703648196, 3631694450,
		1221580173, 470747868, 4176644717, 3720204606, 4167734292, 1820374253, 2963607702, 110398910, 2659757697, 1101975736, 1091345333, 2132113432, 332966814, 3715093460, 3460562221, 3320787802,
		1969586528, 1614653019, 1030132243, 3594994250, 927534879, 3752650005, 3234221896, 4025090432, 287006310, 496006413, 4116031917, 3834617137, 1811394299, 1867525414, 1220661995, 2179733486,
		1937040233, 2716645474, 1149161866, 3319373627, 124131697, 1164062475, 1919869159, 3595260505, 1068636953, 4025048676, 1143739477, 3762812384, 1330561183, 1878246037, 1217401607, 2625025243
	}
};
const unsigned int zobristLockTable[CHESS_TYPE_NUM][BOARD_SIZE] = 
{
	{
		2548813040, 125160616, 421723184, 93015883, 2749646922, 292060616, 890586553, 3124658782, 3175919200, 3674767192, 3854843893, 1057901832, 2318228488, 4242025236, 2490093438, 2554748104,
		785614298, 914950379, 4220079885, 1061618247, 1189238227, 1078976210, 1111085601, 1491735873, 3239430843, 2710686226, 963818863, 4195682712, 3877710842, 971468120, 3107158942, 617909989,
		2503272716, 3630193238, 1966622696, 2576920578, 1089333070, 136010014, 343403178, 2634871644, 1206474246, 4193090273, 3361494798, 1355113079, 657473112, 1892645692, 3107348616, 2563671370,
		1840487914, 1088295047, 2185732777, 2672505399, 205504817, 3332704154, 3547510145, 4288855765, 3587636743, 1212558440, 1383565345, 3240875196, 4257102018, 267601833, 3297476521, 3978065070,
		976883730, 177213557, 1484014884, 2500457810, 2967823645, 90904136, 1089740021, 2422453228, 2808975922, 565445400, 28266936, 427473234, 3188477838, 3418962815, 3929317369, 2323560410,
		3240234962, 1320902534, 3639862352, 3397105362, 1691205186, 1829850051, 3047431814, 3531040407, 4089195370, 4161357130, 868574747, 3523361128, 2088383669, 3832562805, 4161638660, 3801060146,
		496033073, 1786909617, 893985200, 1477877152, 757084222, 915435327, 325012806, 4176216497, 720587352, 1787277553, 556717679, 224169168, 3661717718, 2015139534, 3291341902, 1718138619,
		162354037, 2285977389, 3358846426, 3655366733, 3103587247, 523284074, 3325947213, 3255229517, 2198699429, 23560015, 980238957, 3725391797, 1702755665, 3003690307, 1720409774, 1280918154,
		3016831630, 2013471160, 265927372, 1357535078, 1485017849, 3566193607, 2109075923, 1843068167, 170475270, 3645250194, 1518796186, 3400030915, 3131092312, 4265643749, 2313412835, 4111525864,
		2620753024, 179356272, 1925011451, 1725522525, 3071239991, 1086641370, 318877351, 4070923817, 1219704165, 3630861842, 1569962649, 636798793, 4173943987, 3043453741, 824839414, 3550084502,
		254963520, 3999699637, 522481654, 3190630022, 806922565, 2757350185, 2555520256, 2689145208, 2113287656, 405500636, 1401497069, 4085898903, 4032813440, 1577723589, 794934755, 3619358480,
		2394426746, 1247898706, 3954198532, 949319776, 3668888139, 3090994458, 2906256323, 2126026175, 1882971424, 3331042268, 2623752357, 3863117168, 4270641721, 1711653325, 1478115998, 1682593348,
		2019657619, 3141264300, 38891892, 3649170801, 3590112604, 2239668009, 53495892, 507123435, 647104857, 2501692638, 664826945, 2023259748, 1717003062, 28710129, 1594766983, 1689206689,
		2895393284, 3744154883, 207584521, 643049317, 3271010704, 894196250, 2959330617, 505240978, 3214859487, 223385461, 2425807043, 2990855452, 4015770263, 3067317947, 2388115832, 3675480474,
		1355818519, 674960712, 829316323, 1559864306, 1801474119, 3211331640, 616482437, 1671822306, 658518336, 737061330, 1090167967, 2502238259, 450284050, 4135924032, 185851913, 1897296895,
		2763106620, 2638251130, 2316993975, 4175603232, 4289065225, 3032880633, 1659384740, 2596784860, 1591289906, 2069963571, 2890295703, 1125123377, 2744929620, 3241868806, 55935648, 2145170486
	},
	{
		4006964627, 1127801358, 3755871822, 833133124, 4143955276, 2316234302, 3761257085, 3842652439, 1074755574, 532169457, 767278857, 161015454, 3694494319, 200209045, 3763628596, 3926852903,
		3250080800, 804191172, 2735664720, 1173812243, 2801341806, 1336881212, 1107981757, 3638728007, 2671771015, 1673452598, 1902845677, 2710236958, 3761808696, 2003333307, 998267865, 1473848180,
		150346723, 2471801406, 2269653314, 3328502960, 1663146444, 2764085441, 4180249957, 428841376, 2020028724, 1696748825, 1468164306, 2641840489, 482548799, 2768879120, 721680262, 2157273519,
		1211829044, 3409549757, 4194736065, 1690932198, 866091711, 2697712336, 450972395, 278973248, 979379794, 3976036315, 1389206071, 470563629, 3723446382, 495449899, 1744469904, 4016641539,
		1916870929, 4227668075, 2832771929, 600802740, 1142521249, 4145015560, 275953741, 2286721556, 80517015, 1216755076, 538004465, 1237721119, 2951645348, 857121102, 1185632133, 4172524884,
		3770280314, 1405776990, 3828582327, 2922404871, 2358082448, 2595436931, 2784466239, 3407584740, 3948275036, 2452514160, 4287927802, 3727205057, 234731203, 896732304, 927767108, 4282932426,
		2603351233, 1357240248, 2471258689, 2098460953, 3302853908, 3906242892, 1552177093, 2929890732, 3517416649, 3948846578, 3815850064, 1791581783, 1875433195, 4059177464, 551922738, 2868785004,
		128534767, 2868450870, 2769613119, 2993279523, 2829995327, 2015747811, 1117388543, 374096919, 846146999, 2004106882, 947668083, 834977102, 2255088586, 4269731657, 1923794060, 1474985995,
		1899458938, 470850117, 1976136707, 3820430618, 634329313, 3113123694, 2150284374, 2789914168, 3581624484, 358792760, 222169300, 3441601612, 1512382309, 1880017150, 2191304080, 2518127307,
		2612016356, 3643975947, 792327694, 2686505582, 1883203731, 3087617448, 1349169528, 387167994, 3937819110, 4002245714, 3391453492, 1241675471, 235964535, 736584902, 242822428, 3463790528,
		181510345, 3147290461, 657673595, 432380626, 3725379325, 2450066997, 2206975048, 2179499483, 1983304365, 1238239322, 2237921279, 90753603, 545535962, 2762858872, 374699925, 378627989,
		123227705, 472058528, 3595262714, 1361208864, 1644706759, 3037143588, 2670132133, 993366939, 3597586227, 1197526791, 2396462766, 3651169908, 276194709, 3222817352, 756569318, 3546166126,
		3871687112, 2476513828, 68868299, 3129402684, 1106053675, 3559389065, 3421758495, 2356018338, 4091088810, 406293846, 48157724, 2870839881, 2274619041, 3556846336, 307748488, 536809607,
		3666847508, 2607660447, 2346358724, 869025540, 2435192726, 3042280188, 374479852, 22133021, 3536335529, 1401866929, 4102551252, 1215210121, 355319321, 3395443532, 3516230373, 3146200921,
		3152516047, 2341270408, 2993755259, 1377167030, 1912522871, 4228260622, 1905685973, 3906781992, 2662485628, 3035574158, 3046172526, 1241445932, 3885467793, 474452026, 3880012770, 2796132842,
		3623820697, 1601566536, 2564650111, 3936797473, 2969429195, 1634080474, 4104208179, 2057667539, 46581384, 2146298278, 2935000275, 2122885263, 3877818347, 4288292553, 2677803729, 1820580430
	},
	{
		3218754736, 3169642482, 2690362387, 3868845198, 2348951919, 1487335899, 1698521603, 309651650, 267292595, 1874290054, 4133712421, 2147463514, 2771409597, 61399040, 525562210, 391274591,
		3201577174, 1889287673, 1879435900, 3609319074, 1370209738, 672781204, 1615885557, 2276161402, 3998902114, 781087438, 2498957943, 3546033580, 214352262, 2651836541, 3509352935, 1628215085,
		1259851344, 1122762576, 1198402433, 2777935301, 1339243803, 582598785, 3470491927, 508367887, 2878711800, 3716368696, 256286650, 1969334912, 767110298, 3395666219, 664778330, 1772495636,
		1595591175, 3352289936, 2266591203, 3785469928, 3385286842, 3362223087, 1872342065, 2328063822, 2617651960, 1802324264, 1111074631, 3174087318, 3492917627, 1082130707, 4224863347, 4137277186,
		1469228100, 2802843219, 1905122824, 4049031514, 1396906727, 2179156528, 4238690890, 3179214708, 746219501, 3902286879, 2338585743, 4264814155, 2920466196, 563896925, 1232052137, 3390184093,
		3655023612, 974638504, 1242296536, 3530597859, 1187254684, 3659974023, 1387568572, 3075587646, 3035696602, 952910751, 610754004, 2166575250, 3921447153, 697564642, 3759582969, 3653387062,
		3554736446, 3017578515, 3295296867, 3994509968, 947305974, 1511263950, 2181710354, 372607205, 2311404763, 624280141, 3808097020, 3140384253, 3104141171, 1446825745, 3739930528, 3672222010,
		1669854083, 312028829, 1169087661, 3252220121, 349632655, 1696519481, 557721788, 3146985580, 1140845888, 1081733823, 79490112, 3287789193, 2135923500, 1418092238, 2761835422, 738427338,
		3250396033, 852537203, 1523343989, 2841019872, 3958426777, 1760059579, 3163758421, 513824284, 4284608582, 3170672492, 3048936589, 3210590819, 4282322318, 3019830033, 1270935759, 1564387113,
		275542273, 2928191539, 2562440926, 4216556875, 3205223104, 2569525628, 3354282409, 4085575328, 1811603430, 2605721211, 4027146210, 873350878, 3444439501, 340781309, 2277203108, 2056157926,
		3834953097, 469217991, 289721385, 1504911637, 1692537641, 3056077493, 2273828756, 502213353, 1731609233, 1818617659, 949052266, 3062017417, 2729097276, 3107289171, 3947250661, 1531929342,
		2900080265, 4253636515, 1952784794, 3402488505, 1140557110, 3945102186, 2280840637, 1764388552, 3396824464, 2613963937, 2437810555, 2837114493, 3604768843, 3348344399, 3705578769, 1196596106,
		3760883307, 1663470045, 2108785845, 2912941415, 252632713, 2502240580, 1022188475, 2323556145, 4247645306, 2231627861, 1587866800, 3732025107, 204077056, 3226718869, 2965854427, 2618138592,
		2250125321, 9048989, 2479661658, 785747206, 1045692335, 3210435350, 3215410564, 2257358453, 3017185823, 106761230, 3835608762, 90459241, 925283700, 3420231498, 2332334740, 2517359523,
		997673282, 1199334219, 3388027882, 3101115594, 2863626518, 2924683305, 2083576257, 3090300832, 4044988131, 1926100641, 3584486850, 4206170993, 2246379811, 1164576427, 927004466, 1481888183,
		1921281499, 1339374560, 2954244948, 358134599, 1763159940, 734135578, 3001147940, 2914803805, 2002762804, 2211589685, 515163830, 474477706, 1687673575, 1839055950, 1564668985, 4200860369
	},
	{
		2978052678, 1224513429, 4016697096, 1193127194, 3716808274, 2474128901, 299203374, 1343366431, 1606965252, 1816572111, 1264771753, 904964501, 2636952963, 2989805494, 3939333733, 2912724634,
		3102603944, 2142501327, 3565096994, 2649972665, 167886115, 707345735, 1768751299, 2237946580, 788974352, 3927589652, 3402518865, 299813274, 2654424950, 3588246849, 2453329893, 2480144143,
		3206287603, 4141155780, 2314799032, 4187023689, 3178598524, 3257703513, 83627563, 288504705, 2296773409, 2807804378, 1889995638, 619981999, 3528338495, 2052697691, 3484877746, 1021988282,
		3446120461, 4110220233, 2105728754, 2624566379, 1385297993, 1765142563, 501413618, 1516900914, 1604848390, 3860284445, 1337854561, 3467055486, 1038648803, 94839462, 2086261937, 4037836104,
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		3762424807, 3937390473, 3688699829, 4019551164, 907062488, 461848995, 1102664466, 3685492019, 2872369049, 13056765, 2294519075, 701824475, 1223529952, 751676867, 1965224045, 1228245127,
		63258530, 4156994594, 2647729672, 2547638456, 176557274, 3620143354, 33094874, 2545173401, 1633121498, 1318146627, 846136431, 4037932264, 3314471435, 1369100630, 403585749, 3154059621,
		4109632829, 2863320826, 2151010637, 4232293982, 3522312838, 109212018, 108176841, 1944979687, 4017708841, 2012960154, 3561411438, 1982353508, 4086449893, 2268061389, 2688661921, 1445881082,
		2065936871, 2648774757, 3310569669, 1039516500, 2244850987, 105209543, 1577538925, 1412710795, 3006615900, 3389688939, 4061610733, 1289042696, 3285955537, 2135149444, 607275051, 2642737620,
		3287276445, 864797361, 3832175729, 1438365884, 2135729342, 1161841365, 3553173902, 3606444715, 3022598761, 2922316498, 1875741776, 3231588899, 1554905307, 225583131, 1904126545, 1255149240,
		4088062062, 1446581155, 2594238792, 1884790973, 2111808170, 4071648193, 4003560721, 2606875622, 3006080064, 2251073038, 970708223, 3122754043, 2665242641, 2395573692, 1446652169, 2805581448,
		126221854, 2779443843, 514709633, 2416577685, 3264774272, 1887074797, 3130733270, 2978523849, 1638019323, 472397673, 1326989949, 3144335531, 911939489, 581229508, 3043438247, 3125242868,
		1809132085, 1788034645, 257933293, 3861069866, 213361176, 3097545748, 3350596875, 336620191, 2398298046, 1716756467, 611838581, 1219490387, 1230061349, 114035429, 684684897, 4261203750,
		620712330, 475734968, 3391614186, 1673161764, 657086870, 3054360232, 2679044102, 3043090243, 3838723478, 3841896035, 4164372595, 3888963569, 1293273161, 2794063946, 3083357796, 1793479158,
		2606841213, 2415119206, 1526604664, 2906956319, 366212277, 88689096, 1328546043, 368776107, 970733529, 2364353464, 248068014, 3931181262, 4222611046, 3762675561, 1089474400, 1906188770,
		3711702202, 2963454528, 1056579483, 2967652730, 2337305049, 658586415, 3122273904, 2478849572, 2812581152, 1762294447, 3744004826, 299127000, 140736431, 3175804209, 4038544281, 2050336880,
		14433437, 1867863941, 1151656898, 748033340, 1379684650, 1081364677, 3646397196, 2026728075, 824938001, 3822877440, 2390995872, 3936705048, 4090862765, 228876604, 1028125313, 3322639342,
		226210037, 1795044712, 3176138447, 3683197637, 305928335, 3858264709, 3954897147, 4136432010, 2621260724, 4084779943, 2585730858, 2620232334, 546645390, 1696674600, 3945991782, 952073123,
		1185893646, 1108517922, 462694798, 1725085330, 2169160501, 2798486315, 914475728, 1600074593, 1344909402, 3852864314, 3232645694, 2318108459, 1069119885, 359720313, 3814598494, 3479419482,
		2588407145, 3815898692, 4170365942, 2891296577, 3099012030, 2213084692, 1369003855, 2954774322, 2532049435, 7537356, 3823123350, 1604779632, 573611084, 4293968088, 2267314669, 3673646171,
		1682132275, 1575611607, 1990748453, 3885795543, 4137125573, 439033789, 2753538994, 661114095, 3414495835, 3032384281, 2239721225, 2231078668, 1051009418, 3849102214, 4088347297, 1069688000
	},
	{
		3613348461, 3736978964, 3179603261, 2689484116, 209815358, 2607658213, 3453139535, 3130254977, 1023930479, 3873390446, 2081248573, 2740218593, 1390124371, 3591346236, 3729268901, 593020316,
		4007301708, 1793060894, 785716333, 1727381737, 27119329, 1540045810, 824702645, 254583776, 4129586380, 304865650, 1401394689, 1902725037, 385593359, 3999408478, 498864341, 1960874386,
		1023570749, 3194772393, 2836720633, 358279468, 3303129650, 2948422050, 2627097619, 3445375279, 330965456, 1835347562, 3729526036, 1887874371, 2578460834, 1719564671, 4289920841, 2955597342,
		2338678091, 2485450892, 455205608, 2494796941, 3331589058, 984743763, 2153640944, 985463425, 2457478090, 734279556, 3313632175, 3446270592, 4150219813, 1775211843, 3140322338, 105816063,
		4015043083, 1834464097, 2058205774, 1543941374, 4185966490, 253286860, 1637262849, 2200377315, 3589545731, 457093687, 3239685581, 3240923031, 1684768661, 1358328089, 1813214227, 467196204,
		1438069809, 895632940, 2874955649, 76264112, 363150877, 1527369370, 340198672, 3269761771, 780856379, 2165633067, 2804662684, 2846551489, 4220213708, 463971271, 3878481465, 1184023067,
		1651121950, 2466636909, 2225195045, 2052375207, 2430658825, 1947046599, 902478103, 123644007, 1079821505, 3138635549, 2191909852, 3285082707, 4283770880, 46051684, 1359966394, 4227018056,
		374264398, 4160515424, 1332541801, 684886666, 739997505, 662889842, 2648255204, 3370762030, 1410513399, 3051612123, 4059638669, 211278807, 1350143078, 2413310849, 4932492, 533497640,
		3977608355, 286020735, 3271372227, 333104973, 413932409, 280717670, 2423476675, 1082446319, 2760349128, 4101292493, 2183492024, 3084693674, 4184167069, 2873040544, 1772509364, 3664271093,
		4182871896, 3458631059, 1482282678, 1452676418, 947461779, 3695563773, 4190526868, 1707083059, 1852932335, 2765902170, 4069427843, 1341476719, 1602074156, 2792713837, 1002041487, 4220159796,
		3582226043, 2214669057, 3781892995, 631635241, 3699288222, 3074849941, 85992744, 2496842966, 48274070, 4144340978, 98523600, 763786087, 2369287252, 277218403, 599282352, 3406776041,
		2296270813, 3432474946, 258447479, 1574164505, 2693838051, 3270892739, 359293237, 2173429865, 3300220057, 646144293, 1999747961, 1471963489, 3174564569, 3815579141, 1119867393, 4252180850,
		2173259995, 1197465329, 1614140181, 1233382892, 3828544623, 3583472710, 3065272266, 2929161411, 3564270859, 4022668740, 843772269, 1215785764, 1399918659, 3421345600, 2557769426, 334386551,
		173550038, 4225865866, 389750886, 718506983, 1440218480, 4219283228, 2991295587, 2139533619, 3244943208, 2999003007, 1883938967, 2183127626, 837753161, 3109284441, 1844063000, 4287217470,
		3876826759, 419732681, 1785241966, 2248294466, 3081583187, 787866416, 598446839, 3665609278, 122043818, 166988471, 3869966744, 2636689734, 1816891882, 1500517572, 1628013183, 382085522,
		2430290387, 2133211525, 3322612492, 1388505561, 3932466428, 2019166170, 3961895692, 2993015577, 301992497, 2019182459, 3227692651, 3383214827, 3371378166, 3050791629, 4060186327, 4270933206
	},
	{
		2540282287, 2208520164, 2556718326, 312642585, 3383286995, 3965113332, 3990603150, 1180888959, 1046229887, 1631295949, 2674420736, 137200920, 1422031157, 2259235765, 2636028521, 1954686599,
		3312041181, 803395868, 2486766992, 2353249400, 752617167, 4107375605, 1761959104, 2324991471, 8699014, 2854909127, 3179242183, 3998512366, 1571349707, 1062509045, 3638919876, 606314093,
		1405584675, 2777625607, 3877534122, 3447803955, 1228030228, 2942941421, 3355912456, 3939319214, 613967165, 2023612066, 3761832160, 4079603145, 932254292, 954243253, 2220665420, 1390500605,
		3414384548, 2004627657, 4045960225, 400811665, 1267108573, 1435983770, 4285695772, 1224508138, 3494045007, 2947313395, 748375987, 919275208, 3650985130, 1311551541, 3520931403, 797907879,
		1064858488, 3108039883, 808181173, 913290966, 2674103126, 1772135802, 301278440, 2158056344, 709131124, 1577727775, 313545835, 2068630669, 1702948424, 1120853200, 973915149, 1054788434,
		1660753385, 2942146569, 514309186, 4209923258, 225954537, 1844002431, 3384848853, 702808592, 3123552659, 3041919736, 213130259, 1285134224, 2703822571, 215653493, 4180096050, 12312004,
		1269197177, 2911473094, 2235548031, 1972276679, 580053744, 563849998, 3016662901, 2014382936, 3868267450, 359099951, 3465038334, 4111492790, 4215123322, 651545744, 3460250820, 4190078038,
		598673769, 1895977368, 549266877, 457439689, 2432615961, 3711333305, 1659390361, 3067973068, 57839223, 1766776847, 2280319130, 3570209429, 3473142604, 1202197915, 332630257, 1776370164,
		4060548292, 2029879624, 1655209347, 16537810, 1051322853, 936782394, 93488426, 1408127445, 3559243911, 2698607523, 2796550206, 4206274101, 1913459846, 16793552, 71730607, 1092497360,
		2458242030, 3091095741, 4043997985, 1119347526, 3221374354, 2307794286, 771402089, 1994999670, 2019089044, 2628886282, 1630103620, 4272397700, 2628617369, 270391598, 2395966975, 1651234991,
		1756943896, 153850069, 983231234, 1978754496, 1323722803, 3071892855, 3208636928, 3163204352, 4255724625, 3800664596, 2920844977, 1620474079, 825789308, 3590645009, 3389450219, 1743832701,
		450699505, 3048678904, 2939933121, 1277092857, 3831247832, 252694049, 1443217697, 417878855, 231065488, 560439287, 1138659066, 1904134726, 3536037651, 1048098358, 3741448805, 882553407,
		508796855, 2937314668, 2136652302, 195690950, 2772268307, 498799930, 452524456, 2143930971, 1921450202, 359539917, 3126745057, 4141655405, 448824414, 1939953572, 2091496177, 803369539,
		2074164556, 4168837264, 2103156061, 3823921801, 2391547519, 3865413057, 1149871054, 849514856, 4189319109, 3891689712, 3868977704, 2182867848, 1521112924, 19119569, 3496302787, 1621580301,
		3247643291, 507501379, 4288356465, 3886009598, 198936992, 2605384407, 2568984972, 1583347688, 3307186453, 1382739172, 982444892, 2644110863, 2273859764, 2801948895, 3083733560, 3370828705,
		783244467, 2662473473, 3800274389, 1105044315, 1420177281, 837339426, 3081453080, 1676454176, 2932547393, 4263633271, 3450062179, 3143809860, 1573267091, 793249309, 2933207029, 28612170
	},
	{
		2939754462, 914459537, 3162955555, 3875159954, 3054807128, 2093464146, 965725389, 57775211, 3255270172, 3217125514, 56710306, 2099210636, 4242325874, 2483517292, 1302934823, 2628034401,
		2597117102, 2208856269, 2392187851, 3825812414, 243574155, 4050744379, 1696050024, 458693084, 149276035, 2434921532, 1194148592, 665067521, 2034314688, 2213864869, 2227620856, 2136522879,
		724046898, 3010468008, 2224452066, 3874263006, 2002321306, 4181362697, 2611141107, 3767615073, 1974180886, 3925487543, 4280268588, 646885003, 1795941389, 1165419984, 3866129190, 115434797,
		1661090053, 1395684285, 1907367404, 2182683588, 4280116797, 3755861202, 3142888675, 1576327331, 1751135762, 2143802668, 3222793809, 1266673266, 2583807327, 3323899869, 3468514225, 2734665241,
		3346342259, 3813237663, 2048732388, 600286411, 788606503, 4055797909, 1145679774, 3978423923, 3788485528, 1886041898, 1054413758, 3186826096, 3246688128, 1829519132, 2773980255, 148871425,
		3816964321, 3401540783, 1809176738, 2178437963, 3150595741, 2051077567, 582425006, 2311713112, 3965552966, 1564349912, 2616410604, 1629046624, 393226013, 3838386123, 1258905399, 4200505144,
		761105330, 3017781239, 3201246064, 2090592516, 2051451624, 971705939, 679770206, 2791791299, 2313979613, 2879876347, 177439749, 2547384723, 1527957058, 3457786448, 1861905081, 696269737,
		3539387688, 2157240871, 1932752275, 2469317383, 2547358926, 1464874454, 392933454, 1686781059, 1140542766, 600174176, 485698975, 821270297, 3922548631, 2561538753, 1257084364, 3259062542,
		751827364, 3861593678, 1194737302, 1974638020, 2834475134, 3515958601, 728483461, 1363184139, 2639899761, 3650688525, 256181130, 830707387, 201126139, 2536947262, 2969648961, 3460194514,
		1335312487, 1170341138, 3905102154, 1372840235, 3229433213, 1736860776, 3881397353, 2809252041, 442580229, 710085481, 2041011395, 3621711429, 2853673491, 1928705901, 449225250, 3021457148,
		139782779, 2856986459, 1678572724, 3800313442, 2467866678, 285055373, 985492756, 3363436902, 4059528115, 572564314, 4202179803, 3167471753, 2536935413, 3510536803, 1009837396, 866407777,
		1526332397, 1631760010, 3640999072, 1671924787, 138934547, 2038135980, 1110694618, 546346850, 493056975, 3752504862, 1556579659, 4252098586, 2021813055, 275070245, 725357023, 2150934504,
		2358660614, 1997928130, 2754739906, 1263908537, 3120848875, 652867073, 432271851, 735163705, 2039788967, 1025399667, 2961002075, 3710244011, 3083578761, 2646699551, 3000407698, 416220846,
		3459030146, 432084006, 4048402947, 1037475389, 2666328106, 2959936715, 2502937018, 3644884427, 2634328625, 3340516875, 2153268546, 781664532, 3689118524, 3232298420, 3544203830, 2266519823,
		642861528, 885132111, 1953985466, 3932142626, 551008528, 3026862483, 1333441087, 3689084917, 373047716, 3636789292, 501364060, 3686070096, 3365356204, 2808139570, 2265481734, 1848923525,
		1691749741, 3703523382, 3858208914, 3750097523, 2670352114, 3074213788, 2540364923, 459223870, 1637519041, 1624443899, 3152403264, 2131981150, 1784346490, 1291282967, 150870860, 209343791
	},
	{
		3593733919, 1920144189, 879776450, 3693570221, 3738831984, 1206029463, 1067303739, 1093521821, 2133830171, 3254118235, 2404774204, 2429894314, 497042358, 1063069998, 2363350824, 3399749308,
		2827355056, 3769559836, 1845628533, 1017754137, 2299840347, 3172857363, 4114685140, 1403562975, 1771897424, 3701364358, 1373754975, 3953290592, 1425194896, 3725503317, 3341834281, 1808103037,
		1255122559, 262599313, 456099411, 368261980, 4013038316, 239819151, 1551693483, 1755351554, 207736017, 2393063249, 93686187, 4095895515, 1014477818, 313936073, 459721916, 1651458937,
		3459027349, 2137364460, 3607147186, 3589149090, 695799589, 2374111019, 2716094409, 3328875256, 197005909, 470502451, 3685759951, 854231263, 3017461470, 1273368759, 3071703807, 4137994377,
		713949892, 3702511033, 914581340, 625249470, 1442296779, 2476631149, 2895749245, 1070489618, 2203132187, 1591263207, 1332674028, 2424342066, 3844074627, 213877876, 614576168, 3722151899,
		3021960419, 2707912956, 1632246301, 1723495036, 3037347190, 1025385337, 2701646594, 3813950310, 2656580797, 1935362612, 1807628954, 1404669615, 3886818705, 2165120042, 4101890697, 163881151,
		805013461, 1885576992, 2905272238, 1348394868, 3575628227, 1487001426, 2736597912, 784718386, 728640841, 1863586324, 3066894428, 1241556553, 4083648108, 2731600531, 1360070691, 808189332,
		1180085768, 3976603925, 396234994, 3842700122, 3136012141, 2923081361, 2615854320, 679643018, 1558182491, 2405736004, 1599971363, 3587057479, 2305135978, 380390009, 2966846840, 3360622791,
		2554216502, 4099318722, 3463536489, 1979347596, 2500760758, 510402595, 3939940561, 2206077592, 302867782, 696447228, 2585820834, 4169730806, 3466251394, 689347845, 2555074253, 3534754505,
		3748175065, 2093041493, 2494457464, 1183536789, 3932667509, 394600241, 121193278, 2842745818, 3731579569, 3635459525, 870287055, 4176195057, 2237430888, 1021363132, 729175256, 217597495,
		2287576503, 717090350, 3384228585, 3447275164, 1810649884, 353686898, 3480888105, 3332813272, 2578302647, 611942119, 3021253508, 1393099255, 1873407210, 2868185056, 1339781393, 1146621409,
		1427005286, 664321527, 4257905321, 2339389857, 832166637, 43637755, 585940490, 3378481849, 1564829678, 4005739905, 1463168595, 1631209505, 2123273581, 2910426035, 2955586951, 1270070054,
		660641668, 885784509, 4260134508, 1167917115, 1603164569, 3611106828, 4228706954, 637297495, 2058896926, 3440059160, 284527776, 796481955, 353868065, 2428786276, 1289731848, 837161304,
		1248496051, 536463324, 4155011973, 3138028286, 26219193, 4068817599, 2774485756, 1310411650, 2986383167, 2726834400, 1960938732, 1769501815, 1361418608, 2683887919, 652785757, 3760781827,
		4291887132, 1677820813, 2171464631, 4108494262, 3906872145, 3138578378, 1108539508, 1551435436, 833664348, 403289190, 3922991137, 3115084036, 3302211094, 2273544516, 556672653, 3817910434,
		2964967751, 1014420744, 758590449, 957879396, 3424469625, 998097234, 2894146914, 4085368969, 4048952016, 391634050, 719917999, 920615792, 1339079676, 1428892278, 979393789, 3255671968
	}
};

const Library startLib[START_LIBRARY_SIZE] = 
{
	{203040, 31049, 6},
	{509427, 31323, 1},
	{509427, 18232, 2},
	{712636, 42949, 2},
	{712636, 27306, 1},
	{712636, 25764, 13},
	{1281937, 30310, 2},
	{1291523, 17483, 1},
	{1435796, 14907, 2},
	{1452147, 14408, 1},
	{1685411, 21812, 25},
	{1685411, 21300, 1},
	{1710336, 14922, 1},
	{1712557, 34420, 1},
	{1755446, 35739, 1},
	{1800106, 19016, 2},
	{2168635, 34486, 1},
	{2290468, 47046, 1},
	{2290468, 31434, 6},
	{2290468, 19146, 1},
	{2414557, 50838, 1},
	{2508762, 31081, 1},
	{2556834, 34711, 1},
	{2686943, 35460, 1},
	{2757527, 27001, 1},
	{2814114, 38805, 1},
	{2896040, 43946, 1},
	{2949708, 30615, 1},
	{2980312, 48043, 1},
	{3017165, 21668, 2},
	{3094095, 14922, 1},
	{3236618, 14424, 1},
	{3340279, 34424, 1},
	{3813734, 19014, 1},
	{3877342, 19014, 1},
	{3968558, 19050, 2},
	{4134877, 38821, 1},
	{4233015, 42949, 1},
	{4441704, 22617, 1},
	{4441704, 18777, 3},
	{4493444, 39352, 3},
	{4499959, 48075, 2},
	{4499959, 41892, 13},
	{4499959, 35225, 1},
	{4499959, 34197, 2},
	{4640802, 42436, 1},
	{4781687, 30567, 1},
	{4867285, 14907, 1},
	{4881549, 34150, 1},
	{5025527, 39514, 1},
	{5025527, 17987, 1},
	{5134190, 50371, 76},
	{5134190, 33956, 7},
	{5214847, 21587, 1},
	{5275633, 35193, 1},
	{5276678, 22103, 1},
	{5304310, 38776, 1},
	{5454482, 50871, 1},
	{5513074, 18499, 1},
	{5519897, 21332, 2},
	{5786472, 35225, 6},
	{5903974, 39096, 2},
	{6085783, 30567, 7},
	{6473201, 30085, 1},
	{6500335, 39066, 4},
	{6552796, 42918, 1},
	{6769038, 30053, 1},
	{6772563, 38020, 1},
	{6823057, 34727, 1},
	{6898713, 42953, 1},
	{6948233, 50870, 1},
	{6953916, 42660, 1},
	{7161824, 31338, 2},
	{7223576, 41892, 1},
	{7272975, 30344, 4},
	{7689644, 14424, 10},
	{7751512, 38260, 1},
	{7763238, 51881, 1},
	{7824493, 14937, 2},
	{7920070, 35239, 1},
	{8092338, 33957, 1},
	{8115004, 13363, 1},
	{8313505, 18230, 1},
	{8404556, 21812, 3},
	{8572346, 23353, 1},
	{8710267, 42953, 1},
	{8841086, 35448, 1},
	{8905052, 34436, 1},
	{8931905, 31595, 1},
	{8971830, 35193, 1},
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